Results 1 to 10 of about 2,365 (306)
Linear and projective connections over a smooth manifold [PDF]
Дифференциальная геометрия многообразий фигур, 2023 The principal bundles of the first order coframes and the second order coframes, as well as factor bundle of centroprojective (coaffine) coframes are considered.
Yu. I. Shevchenko, A. V. Vyalova
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PROJECTIVE STRUCTURES AND -CONNECTIONS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2018 We extend T. Y. Thomas’s approach to projective structures, over the complex analytic category, by involving the$\unicode[STIX]{x1D70C}$-connections. This way, a better control of projective flatness is obtained and, consequently, we have, for example, the following application: if the twistor space of a quaternionic manifold$P$is endowed with a ...
Radu Pantilie
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Journal of Geometry and Physics, 2007 Two approaches (of È. Cartan and of T. Y. Thomas and J. H. C. Whitehead) to the study of projective connections are compared. Spray geometry is reviewed, the Thomas-Whitehead construction and its generalization to sprays are discussed, and afterwards the Cartan theory in the affine case is described.
D J Saunders, M Crampin
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Higher Order Connections [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
Michael G. Eastwood
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Projective Tensors and Connections [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1928 Veblen Oswald
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Metric Connections in Projective Differential Geometry [PDF]
, 2008 We search for Riemannian metrics whose Levi-Civita connection belongs to a given projective class. Following Sinjukov and Mikes, we show that such metrics correspond precisely to suitably positive solutions of a certain projectively invariant finite-type linear system of partial differential equations.
Eastwood, Michael George +1 more
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he deformation pseudotensor of connections in cocongruence K (n - m)m
Дифференциальная геометрия многообразий фигур, 2023 The Grassmann manifold is the set of all -dimensional planes of an -dimensional projective space, with dim. One of the submanifolds of the Grassmann manifold is a complex of -planes if the dimension of the complex exceeds the difference .
O. O. Belova
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Projective spacetime symmetry of spacetime crystals
Communications Physics, 2023 Wigner’s seminal work on the Poincaré group revealed one of the fundamental principles of quantum theory: symmetry groups are projectively represented. The condensed-matter counterparts of the Poincaré group could be the spacetime groups of periodically ...
Zheng Zhang, Z. Y. Chen, Y. X. Zhao
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MEASURING IN IMAGES WITH PROJECTIVE GEOMETRY [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2018 There is a fundamental relationship between projective geometry and the perspective imaging geometry of a pinhole camera. Projective scales have been used to measure within images from the beginnings of photogrammetry, mostly the cross-ratio on a ...
B. Erdnüß, B. Erdnüß
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Generalized Affine Connections Associated with the Space of Centered Planes
Mathematics, 2021 Our purpose is to study a space Π of centered m-planes in n-projective space. Generalized fiberings (with semi-gluing) are investigated. Planar and normal affine connections associated with the space Π are set in the generalized fiberings.
Olga Belova
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